class leader: y² = x³ + 12x + 31

Sr no.	class members	# points	points
1	y2 = x3 + 12x + 31	42	(0,14) (0,19) (0,36) (0,41) (1,22) (1,33) (6,22) (6,33) (8,12) (8,23) (8,32) (8,43) (11,3) (11,8) (11,47) (11,52) (15,11) (15,44) (23,22) (23,33) (26,22) (26,33) (28,22) (28,33) (30,1) (30,21) (30,34) (30,54) (33,3) (33,8) (33,47) (33,52) (41,12) (41,23) (41,32) (41,43) (45,11) (45,44) (48,22) (48,33) (50,11) (50,44)
2	y2 = x3 + 42x + 34	42	(0,12) (0,23) (0,32) (0,43) (2,4) (2,26) (2,29) (2,51) (7,11) (7,44) (12,11) (12,44) (14,11) (14,44) (22,1) (22,21) (22,34) (22,54) (24,4) (24,26) (24,29) (24,51) (25,22) (25,33) (29,11) (29,44) (34,11) (34,44) (35,7) (35,18) (35,37) (35,48) (40,22) (40,33) (44,1) (44,21) (44,34) (44,54) (45,22) (45,33) (47,11) (47,44)
3	y2 = x3 + 47x + 14	42	(0,17) (0,27) (0,28) (0,38) (5,22) (5,33) (7,9) (7,24) (7,31) (7,46) (9,11) (9,44) (19,11) (19,44) (20,22) (20,33) (22,6) (22,16) (22,39) (22,49) (27,11) (27,44) (29,9) (29,24) (29,31) (29,46) (30,22) (30,33) (40,2) (40,13) (40,42) (40,53) (42,11) (42,44) (44,6) (44,16) (44,39) (44,49) (49,11) (49,44) (52,11) (52,44)
4	y2 = x3 + 37x + 16	42	(0,4) (0,26) (0,29) (0,51) (3,22) (3,33) (6,17) (6,27) (6,28) (6,38) (10,11) (10,44) (11,7) (11,18) (11,37) (11,48) (20,11) (20,44) (21,22) (21,33) (25,11) (25,44) (28,17) (28,27) (28,28) (28,38) (31,22) (31,33) (33,7) (33,18) (33,37) (33,48) (36,22) (36,33) (43,22) (43,33) (50,6) (50,16) (50,39) (50,49) (53,22) (53,33)
5	y2 = x3 + 27x + 26	42	(0,9) (0,24) (0,31) (0,46) (5,11) (5,44) (10,14) (10,19) (10,36) (10,41) (11,2) (11,13) (11,42) (11,53) (13,22) (13,33) (15,11) (15,44) (16,22) (16,33) (21,3) (21,8) (21,47) (21,52) (26,22) (26,33) (33,2) (33,13) (33,42) (33,53) (35,11) (35,44) (38,22) (38,33) (43,3) (43,8) (43,47) (43,52) (46,22) (46,33) (48,22) (48,33)
6	y2 = x3 + 37x + 49	42	(0,7) (0,18) (0,37) (0,48) (9,11) (9,44) (10,22) (10,33) (14,11) (14,44) (17,6) (17,16) (17,39) (17,49) (20,22) (20,33) (22,4) (22,26) (22,29) (22,51) (25,22) (25,33) (32,11) (32,44) (39,6) (39,16) (39,39) (39,49) (42,11) (42,44) (44,4) (44,26) (44,29) (44,51) (47,11) (47,44) (50,17) (50,27) (50,28) (50,38) (54,11) (54,44)
7	y2 = x3 + 42x + 1	42	(0,1) (0,21) (0,34) (0,54) (1,22) (1,33) (3,22) (3,33) (11,12) (11,23) (11,32) (11,43) (13,7) (13,18) (13,37) (13,48) (18,22) (18,33) (23,22) (23,33) (25,11) (25,44) (33,12) (33,23) (33,32) (33,43) (35,4) (35,26) (35,29) (35,51) (36,22) (36,33) (40,11) (40,44) (45,11) (45,44) (46,7) (46,18) (46,37) (46,48) (51,22) (51,33)
8	y2 = x3 + 12x + 9	42	(0,3) (0,8) (0,47) (0,52) (4,11) (4,44) (12,11) (12,44) (15,22) (15,33) (17,11) (17,44) (19,1) (19,21) (19,34) (19,54) (22,14) (22,19) (22,36) (22,41) (30,12) (30,23) (30,32) (30,43) (34,11) (34,44) (37,11) (37,44) (39,11) (39,44) (44,14) (44,19) (44,36) (44,41) (45,22) (45,33) (50,22) (50,33) (52,1) (52,21) (52,34) (52,54)
9	y2 = x3 + 47x + 36	42	(0,6) (0,16) (0,39) (0,49) (5,11) (5,44) (8,22) (8,33) (11,17) (11,27) (11,28) (11,38) (16,22) (16,33) (18,2) (18,13) (18,42) (18,53) (20,11) (20,44) (30,11) (30,44) (31,22) (31,33) (33,17) (33,27) (33,28) (33,38) (38,22) (38,33) (40,9) (40,24) (40,31) (40,46) (41,22) (41,33) (51,2) (51,13) (51,42) (51,53) (53,22) (53,33)
10	y2 = x3 + 27x + 4	42	(0,2) (0,13) (0,42) (0,53) (2,11) (2,44) (4,11) (4,44) (5,22) (5,33) (10,3) (10,8) (10,47) (10,52) (15,22) (15,33) (22,9) (22,24) (22,31) (22,46) (24,11) (24,44) (27,11) (27,44) (32,14) (32,19) (32,36) (32,41) (35,22) (35,33) (37,11) (37,44) (44,9) (44,24) (44,31) (44,46) (49,11) (49,44) (54,14) (54,19) (54,36) (54,41)